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Proportional Op-amp Model

Model of a Proportional (P) controller op-amp circuit

Examples

Basic Examples (2) 

Retrieve the model:

In[1]:=
ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\)]
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The icon:

In[2]:=
ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\), "Icon"]
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Scope & Additional Elements (6) 

Available content elements:

In[3]:=
\!\(\* TagBox[ RowBox[{"ResourceObject", "[", "\"\<Proportional Op-amp Model\>\"", "]"}], #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\)["ContentElements"]
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The state space model:

In[4]:=
ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\), "StateSpaceModel"]
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The input variables:

In[5]:=
ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\), "InputVariables"]
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The output variables:

In[6]:=
ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\), "OutputVariables"]
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The complex variable:

In[7]:=
ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\), "ComplexVariable"]
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The model parameters:

In[8]:=
ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\), "Parameters"]
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Visualizations (1) 

The proportional action for various input frequencies and values of ℛ1 and ℛ2:

In[9]:=
Manipulate[ Plot[{Sin[\[Omega] t], Evaluate@OutputResponse[ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\)] /. {Subscript[\[ScriptCapitalR], 1] -> r1, Subscript[\[ScriptCapitalR], 2] -> r2}, Sin[\[Omega] t], {t, 0, 10}]}, {t, 0, 10}, Sequence[ PlotLegends -> Placed[{"input", "output"}, Below], Frame -> True]], Sequence[{{\[Omega], 1}, 0.1, 10, ImageSize -> 75}, Delimiter, {{r1, 100, Subscript[\[ScriptCapitalR], 1]}, {100, 330, 500, 1000}}, {{r2, 330, Subscript[\[ScriptCapitalR], 2]}, {100, 330, 500, 1000}}], Sequence[ ControlPlacement -> Left, SaveDefinitions -> True]]
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Analysis (1) 

The magnitude is frequency independent and the phase lag is a constant 180 °:

In[10]:=
Manipulate[BodePlot[ResourceData[\!\(\* TagBox["\"\<Proportional Op-amp Model\>\"", #& , BoxID -> "ResourceTag-Proportional Op-amp Model-Input", AutoDelete->True]\)] /. {Subscript[\[ScriptCapitalR], 1] -> r1, Subscript[\[ScriptCapitalR], 2] -> r2}, Sequence[ PlotRange -> {{-20, 20}, Automatic}, ImageSize -> Small, PlotLayout -> "HorizontalGrid", PlotLabel -> {"magnitude", "phase"}]], Grid[{{ Control[{{r1, 100, Subscript[\[ScriptCapitalR], 1]}, {100, 330, 500, 1000}}], Control[{{r2, 330, Subscript[\[ScriptCapitalR], 2]}, {100, 330, 500, 1000}}], Null}}, Spacings -> 2], SaveDefinitions -> True]
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Suba Thomas, "Proportional Op-amp Model" from the Wolfram Data Repository (2025)  

Data Resource History

  • Date Created:

Source Metadata

  • Citation: K. Ogata, "Modern Control Engineering", 5th ed. Upper Saddle River, NJ, USA: Pearson, 2010.​

Publisher Information

  • Prepared for the Wolfram Data Repository By: Maher Kuzbari, Suba Thomas
  • Publisher of Record: Suba Thomas